6) i got 0.0256 which is correct 7) i got 0.0236 which is correct 8) i got 0.098

Question

6) i got 0.0256 which is correct

7) i got 0.0236 which is correct

8) i got 0.0986 which is correct

9) I dont know how to do it, so i need help with that one

6) The annual maximum snow load X (in lb/ft20 on buildings with flat roofs in Chicago can be modeled by a random variable with the following CDF x S12 1- (12/x) The roof will fail ifthe load is greater than 30 lb/ft. What is the probability of roof failure in the first year of operation? Hint: The probability of roof failure in any year is the same. Give your answer to four decimal places (0.XXXX). 7) Continuing with the snow load problem, what is the probability that failure will occur for the first time in the fourth year of the building's operation? Give your answer to four decimal places (0.XXXX) 8) Continuing with the snow load problem, what is the probability that a failure will occur at least once in a four-year period? Give your answer to three decimal places (0.XXX). 9) Continuing with the snow load problem, what load should the roof be able to support to reduce the probability of failure in a five-year period to 0.0025? Enter your answer to 2 significant figures. Give your answer in lb/ft2, and give the answer to one decimal place (e.g.X.X)

Explanation / Answer

this mean structure is failing in fifth year

it should not fail in first four year

probability 0.0025=(1-(12/x)4)4*(12/x)4

0.018633x=1-(12/x)4

on solving x= 12.85 lb/ft2

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